Let be continuous on and differentiable on

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let hh be continuous on [2,7][2,7] and differentiable on (2,7)(2,7). The function has exactly one critical number cc in (2,7)(2,7), and h′′(c)>0h''(c)>0. Where must the absolute minimum of hh on [2,7][2,7] occur? Provide a brief explanation in one sentence.

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